2D Tsallis Entropy for Image Segmentation Based on Modified Chaotic Bat Algorithm [PDF]
Entropy, 2018 Image segmentation is a significant step in image analysis and computer vision. Many entropy based approaches have been presented in this topic; among them, Tsallis entropy is one of the best performing methods.
Zhiwei Ye, Juan Yang, Mingwei Wang
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Further Properties of Tsallis Entropy and Its Application [PDF]
Entropy, 2023 The entropy of Tsallis is a different measure of uncertainty for the Shannon entropy. The present work aims to study some additional properties of this measure and then initiate its connection with the usual stochastic order. Some other properties of the
Ghadah Alomani, Mohamed Kayid
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Kernel Estimation of Cumulative Residual Tsallis Entropy and Its Dynamic Version under ρ-Mixing Dependent Data [PDF]
Entropy, 2021 Tsallis introduced a non-logarithmic generalization of Shannon entropy, namely Tsallis entropy, which is non-extensive. Sati and Gupta proposed cumulative residual information based on this non-extensive entropy measure, namely cumulative residual ...
Muhammed Rasheed Irshad +3 more
doaj +3 more sources
On Conditional Tsallis Entropy [PDF]
Entropy, 2021 There is no generally accepted definition for conditional Tsallis entropy. The standard definition of (unconditional) Tsallis entropy depends on a parameter α that converges to the Shannon entropy as α approaches 1.
Andreia Teixeira +2 more
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Some New Results Involving Past Tsallis Entropy of Order Statistics [PDF]
Entropy, 2023 This work focuses on exploring the properties of past Tsallis entropy as it applies to order statistics. The relationship between the past Tsallis entropy of an ordered variable in the context of any continuous probability law and the past Tsallis ...
Mansour Shrahili, Mohamed Kayid
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Tsallis Entropy in MV-Algebras [PDF]
MathematicsWe deal with Tsallis entropy in MV-algebraic dynamical systems. We prove that Tsallis entropy is a submeasure and that it is invariant under isomorphisms.
Giuseppina Gerarda Barbieri +1 more
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A Direct Link between Rényi–Tsallis Entropy and Hölder’s Inequality—Yet Another Proof of Rényi–Tsallis Entropy Maximization [PDF]
Entropy, 2019 The well-known Hölder’s inequality has been recently utilized as an essential tool for solving several optimization problems. However, such an essential role of Hölder’s inequality does not seem to have been reported in the context ...
Hisa-Aki Tanaka +2 more
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Tsallis Entropy in Consecutive k-out-of-n Good Systems: Bounds, Characterization, and Testing for Exponentiality [PDF]
EntropyThis study explores the application of Tsallis entropy in evaluating uncertainty within the framework of consecutive k-out-of-n good systems, which are widely utilized in various reliability and engineering contexts.
Anfal A. Alqefari +2 more
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Tsallis Entropy of Product MV-Algebra Dynamical Systems [PDF]
Entropy, 2018 This paper is concerned with the mathematical modelling of Tsallis entropy in product MV-algebra dynamical systems. We define the Tsallis entropy of order α , where α ∈ ( 0 , 1 ) ∪ ( 1 , ∞ ) , of a partition in ...
Dagmar Markechová, Beloslav Riečan
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The limit behavior of the evolution of Tsallis entropy in self-gravitating systems [PDF]
, 2017 In this letter, we study the limit behavior of the evolution of Tsallis entropy in self-gravitating systems. The study is carried out under two different situations, drawing the same conclusion.
Du, Jiulin, Liang, Faku, Zheng, Yahui
core +2 more sources